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Simplifying 0.22(x + 6) = 0.2x + 1.6 Reorder the terms: 0.22(6 + x) = 0.2x + 1.6 (6 * 0.22 + x * 0.22) = 0.2x + 1.6 (1.32 + 0.22x) = 0.2x + 1.6 Reorder the terms: 1.32 + 0.22x = 1.6 + 0.2x Solving 1.32 + 0.22x = 1.6 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 1.32 + 0.22x + -0.2x = 1.6 + 0.2x + -0.2x Combine like terms: 0.22x + -0.2x = 0.02x 1.32 + 0.02x = 1.6 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 1.32 + 0.02x = 1.6 + 0.0 1.32 + 0.02x = 1.6 Add '-1.32' to each side of the equation. 1.32 + -1.32 + 0.02x = 1.6 + -1.32 Combine like terms: 1.32 + -1.32 = 0.00 0.00 + 0.02x = 1.6 + -1.32 0.02x = 1.6 + -1.32 Combine like terms: 1.6 + -1.32 = 0.28 0.02x = 0.28 Divide each side by '0.02'. x = 14 Simplifying x = 14
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